Consider the trapezium ABCD represented in the image. In the figure, the non-parallel sides have been extended to their meeting point E. Let M and N be the midpoints of the segments AE and DE respectively and let P and Q be the midpoints of the diagonals AC and BD respectively. Show that the quadrilateral MSPQ is a trapezoid. Hint: Show that the MN and QP segments are both parallel to the AD segment.

Q: Let the line DE be a line parallel to the base BC of triangle ABC. Show that if the line AF divides…

A: Given,DE∥BCAF bisects BCLet intersection of AF with DE be 'x'

Q: Given ABCD is a rhombus, m ZABC= 120, and EB = 19. Find the length of AD. D

A: We can find the length of AD as below.

Q: ABCD is a rhombus. If m<ABD = 47o , find m<BAC

A: Given,  ABCD is a rhombus.  m∠ABD = 47°  We have to find  m∠BAC.

Q: Find one point that is located at equal distances from the three vertices of triangle ABC in which…

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Q: A quadrilateral has four congruent sides (s) and two pairs of congruent, opposite angles (20 and 2),…

A: Given that quadrilateral has four congruent sides (s) and two pairs of congruent, opposite angles…

Q: 10. a) Show that the quadrilateral with vertices at P(0, 2, 5), Q(1, 6, 2), R(7, 4, 2), and S(6, 0,…

A:

Q: 6. 5 F 4 3 B. -8 -6 -5 -4 -3 -2 -1 -1 -2 L 2.

A:

Q: iven the föllowing rhombus, what is the length of segment BD? 30

A: Find bd

Q: Prove that Lambert and Saccheri quadrilaterals are parallelograms.

A: SACCHERI QUADRILATERAL: A quadrilateral which has two equal sides which are perpendicular to its…

Q: Consider the statement "If P is a point on the perpendicular bisector of segment AB, then PA= PB: a.…

A: Given: "If P is a point on the perpendicular bisector of segment AB¯ then PA=PB" To do: Provide a…